In this paper we consider the relative expressive power of two very common operators applicable to sets and multisets: the with and the union operators. For such operators we prove...
Exotic semirings such as the “(max, +) semiring” (R ∪ {−∞}, max, +), or the “tropical semiring” (N ∪ {+∞}, min, +), have been invented and reinvented many times s...
learning (EBL) component. In this paper we provide a brief review of FOIL and FOCL, then discuss how operationalizing a domain theory can adversely affect the accuracy of a learned...
In a previous paper, we developed an algebraic theory about threads and multi-threading based on the assumption that a deterministic interleaving strategy determines how threads ar...
Modus ponens provides the central theme. There are laws, of the form A C. A logic (or other theory) L collects such laws. Any datum A (or theory T incorporating such data) provid...